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Finding the Fourth Proportional to 469.68, 700.98 and 428.56

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Solution

The fourth proportional to 469.68, 700.98 and 428.56 is: 639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 700.98 = 428.56 : x
  2. Step 2: Convert to fraction form
    469.68/700.98 = 428.56/x
  3. Step 3: Cross multiply
    469.68x = 700.98 × 428.56
  4. Step 4: Simplify right side
    469.68x = 300,411.99
  5. Step 5: Solve for x
    x = 300,411.99/469.68
  6. Step 6: Final answer
    x = 639.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.